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Finding the Third Proportional to 27,717 and 49,278

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Solution

The third proportional to 27,717 and 49,278 is: 87,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717 : 49,278 = 49,278 : x
  2. Step 2: Convert to fraction form
    27,717/49,278 = 49,278/x
  3. Step 3: Cross multiply
    27,717x = 49,278 × 49,278
  4. Step 4: Simplify right side
    27,717x = 2,428,321,284
  5. Step 5: Solve for x
    x = 2,428,321,284/27,717
  6. Step 6: Final answer
    x = 87,611.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.